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Finding the Fourth Proportional to 197.78, 296.67 and 60.83

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Solution

The fourth proportional to 197.78, 296.67 and 60.83 is: 91.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.78 : 296.67 = 60.83 : x
  2. Step 2: Convert to fraction form
    197.78/296.67 = 60.83/x
  3. Step 3: Cross multiply
    197.78x = 296.67 × 60.83
  4. Step 4: Simplify right side
    197.78x = 18,046.44
  5. Step 5: Solve for x
    x = 18,046.44/197.78
  6. Step 6: Final answer
    x = 91.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.